 | Daniel Cresswell - Geometry - 1819 - 446 pages
...DAH > the L HAG ; and so on. . PROP. XXXIII. 47. PROBLEM. To trisect av given finite straight line. Let AB be the given straight line: It is required to divide it into three equal parts. Upon AB describe (E. 1.1.) the equilateral A CAB ; bisect (E. 9. 1.) the two equal... | |
 | Matthew Iley - 1820 - 512 pages
...or of ivory, with a square end : and parallel lines are best made with a parallel ruler. PROBLEM v. To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be a given finite straight line to be divided into two equal parts. y A From A as a centre, with any opening... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...line AF. Which was to be done. Proportion X. Problem. To bisect a given finite straight line, that it, to divide it into two equal parts. Let AB be the given straight line j it is required to divide it into two equal parts. Describe( 1 . 1 . ) upon it an equilateral triangle... | |
 | Daniel Cresswell - Euclid's Elements - 1825 - 616 pages
...whole tine and out; of Us parts, shall have a given ratio to the square of the other part *. Let Jli be the given straight line : It is required to divide it into two parts, such that the rectangle contained by AB and one of the parts shall have to the square of the... | |
 | Euclid - 1826 - 234 pages
...angle into any even number of equal parts. PROPOSITION X. PROBLEM.* To bisect a given finite right line, that is, to divide it into two equal parts. Let AB be the given finite right c line ; it is required to bisect it. Upon ita describe the equilateral triangle ABC ;... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. Let AB be the given straight line ; it is required to divide .it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square... | |
 | John Playfair - Geometry - 1829 - 210 pages
...PROPOSITION IX. PROBLEM. To divide a given straight line into two parts which shall be in any given ratio. Let AB be the given straight line; it is required to divide AB into two parts which shall be in a given ratio. From the point A draw a line AC, making any angle... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...rectilineal angle BAC is bisected by the straight line AF. Which was to be done. D PROP. X. PROB. To bisect a finite straight line, that is, to divide it into two...required to divide it into two equal parts. Describe (1. 1.) upon it an equilateral triangle ABC, and bisect (9. 1. ) the angle ACB by the straight line... | |
 | John Playfair - Euclid's Elements - 1833 - 346 pages
...is bisected by the straight line AF. Which was to be done. PROP. X. PROB. To User I a given Jinite straight line, that is, to divide it into two equal...required to divide it into, two equal parts. Describe (1. 1.) upon it an equilateral triangle ABC, and biseet (9. 1.) the angle ACB by the straight line... | |
 | Euclides - 1834 - 518 pages
...l. f Constr. f Cumtr. PROPOSITION X. PROR. — To bisect a givenj!nite straight line ; that is, Id divide it into two equal parts. Let AB be the given...required to divide it into two equal parts. Describe * upon it an equilateral triangle c ABC, and bisect* the angle ACB, by the straight line CD : AB shall... | |
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To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line : it is required to divide it intotwo equal parts. 
